Sure! To determine the length of one side of a square given its area, we can follow these steps:
1. Recall the formula for the area of a square, which is:
[tex]\[
\text{Area} = \text{side length}^2
\][/tex]
2. Let [tex]\( s \)[/tex] represent the side length of the square. Thus,
[tex]\[
s^2 = 289 \text{ cm}^2
\][/tex]
3. To find [tex]\( s \)[/tex], we need to take the square root of both sides. This is because the side length of a square multiplied by itself gives the area.
[tex]\[
s = \sqrt{289}
\][/tex]
4. Now, we find the square root of 289. The square root of 289 is 17.
5. Therefore, the side length of the square is:
[tex]\[
s = 17 \text{ cm}
\][/tex]
So, the length of one side of the square is [tex]\( 17 \)[/tex] cm.
